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Given that 4a ∶ 9 = 8 ∶ 1, calculate the value of a.

Sagot :

Answer:

a = 18

Step-by-step explanation:

Rewrite the ratio as a fraction.

4a : 9 = 8 : 1

[tex] \frac{4a}{9} = \frac{8}{1} [/tex]

Cross multiply

(4a )(1) = (8)(9)

4a = 72

Divide both side by 4

[tex] \frac{4a}{4} = \frac{72}{4} [/tex]

a = 18